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Simplifying 7x + 3y + -4z + -5x + 3y + -4z = 0 Reorder the terms: 7x + -5x + 3y + 3y + -4z + -4z = 0 Combine like terms: 7x + -5x = 2x 2x + 3y + 3y + -4z + -4z = 0 Combine like terms: 3y + 3y = 6y 2x + 6y + -4z + -4z = 0 Combine like terms: -4z + -4z = -8z 2x + 6y + -8z = 0 Solving 2x + 6y + -8z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6y' to each side of the equation. 2x + 6y + -6y + -8z = 0 + -6y Combine like terms: 6y + -6y = 0 2x + 0 + -8z = 0 + -6y 2x + -8z = 0 + -6y Remove the zero: 2x + -8z = -6y Add '8z' to each side of the equation. 2x + -8z + 8z = -6y + 8z Combine like terms: -8z + 8z = 0 2x + 0 = -6y + 8z 2x = -6y + 8z Divide each side by '2'. x = -3y + 4z Simplifying x = -3y + 4z
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